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Finding the Third Proportional to 320,379 and 704,709

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Solution

The third proportional to 320,379 and 704,709 is: 1,550,085.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,379 : 704,709 = 704,709 : x
  2. Step 2: Convert to fraction form
    320,379/704,709 = 704,709/x
  3. Step 3: Cross multiply
    320,379x = 704,709 × 704,709
  4. Step 4: Simplify right side
    320,379x = 496,614,774,681
  5. Step 5: Solve for x
    x = 496,614,774,681/320,379
  6. Step 6: Final answer
    x = 1,550,085.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.